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Find derivatives of the following functi...

Find derivatives of the following functions.
`tan^(-1)(cossqrtx)`

Text Solution

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`y=tan^(-1)(cossqrtx)`
`dy/dx=1/(1+cos^2sqrtx).d/dx(cossqrtx)`
`1/(1+cos^2sqrtx).d/dx(cossqrtx)`
1/(1+cos^2sqrtx).(-sinsqrtx).d/dx(sqrtx)`
`=-sinsqrtx/(1+cos^2sqrtx).1/(2sqrtx)`
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